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Simplifying -7 + 2(1 + -8k) = -35 -7 + (1 * 2 + -8k * 2) = -35 -7 + (2 + -16k) = -35 Combine like terms: -7 + 2 = -5 -5 + -16k = -35 Solving -5 + -16k = -35 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -16k = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -16k = -35 + 5 -16k = -35 + 5 Combine like terms: -35 + 5 = -30 -16k = -30 Divide each side by '-16'. k = 1.875 Simplifying k = 1.875
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